The minimum entropy principle for fluid flows in a nozzle with discontinuous cross-section
Numerical Analysis
2008-12-24 v1 Analysis of PDEs
Fluid Dynamics
Abstract
We consider the Euler equations for compressible fluids in a nozzle whose cross-section is variable and may contain discontinuities. We view these equations as a hyperbolic system in nonconservative form and investigate weak solutions in the sense of Dal Maso, LeFloch, and Murat. Observing that the entropy equality has a fully conservative form, we derive a minimum entropy principle satisfied by entropy solutions. We then establish the stability of a class of numerical approximations for this system.
Keywords
Cite
@article{arxiv.0712.3774,
title = {The minimum entropy principle for fluid flows in a nozzle with discontinuous cross-section},
author = {Dietmar Kroener and Philippe G. LeFloch and Mai-Duc Thanh},
journal= {arXiv preprint arXiv:0712.3774},
year = {2008}
}
Comments
18 pages